Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

If the set $\{a,b,c,d,e,f,g\}$ is is partitioned into these three partitions:

$\{a, c, e, g\}$

$\{b, d\}$

$\{f\}$

and an equivalence relation is produced by these partitions, is $\{a,c,e,g\}$ an equivalence class?

share|cite|improve this question
6  
That's not a partition: b is in two sets, and c is in none. – Chris Eagle Dec 7 '11 at 0:37
    
The relation you have defined ("$a~b$ iff $a$ and $b$ are both in the same set) not transitive: $a~b$ and $b~d$ but $a$ is not related to $d$. – Neal Dec 7 '11 at 0:41
1  
Crap. I meant for the first one to say {a, c, e, g} instead of {a, b, e, g}. Fixed it now; thanks for pointing it out. – Josh1billion Dec 7 '11 at 0:53
up vote 2 down vote accepted

As updated, yes. Wikipedia has more

share|cite|improve this answer
    
Perfect, just what I needed to know. Thanks. – Josh1billion Dec 7 '11 at 0:59

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.